49 team knockout fixture

49 teams: 15 byes, 34 teams play Round I, 48 matches over 6 rounds.

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How the 49 team fixture is drawn

Upper half and lower half

49 is odd, so the upper half gets (49 + 1) ÷ 2 = 25 teams (Teams 1–25) and the lower half gets (49 − 1) ÷ 2 = 24 teams (Teams 26–49).

Byes

Byes = next power of 2 − number of teams = 64 − 49 = 15. 15 is odd, so the upper half gets (15 − 1) ÷ 2 = 7 byes and the lower half gets (15 + 1) ÷ 2 = 8 byes.

Which teams get the byes, and why

The textbook places byes in this order: the 1st bye to the last team of the lower half, the 2nd to the first team of the upper half, the 3rd to the first team of the lower half and the 4th to the last team of the upper half. The remaining byes follow the same pattern, moving inward. For 49 teams:

  1. Team 49 — last team of the lower half
  2. Team 1 — first team of the upper half
  3. Team 26 — first team of the lower half
  4. Team 25 — last team of the upper half
  5. Team 48 — 2nd-last team of the lower half
  6. Team 2 — 2nd team of the upper half
  7. Team 27 — 2nd team of the lower half
  8. Team 24 — 2nd-last team of the upper half
  9. Team 47 — 3rd-last team of the lower half
  10. Team 3 — 3rd team of the upper half
  11. Team 28 — 3rd team of the lower half
  12. Team 23 — 3rd-last team of the upper half
  13. Team 46 — 4th-last team of the lower half
  14. Team 4 — 4th team of the upper half
  15. Team 29 — 4th team of the lower half

Teams with a bye do not play Round I. They go straight to Round II.

Round I and total matches

49 − 15 = 34 teams play Round I in 17 matches:

  • Match 1: Team 5 vs Team 6
  • Match 2: Team 7 vs Team 8
  • Match 3: Team 9 vs Team 10
  • Match 4: Team 11 vs Team 12
  • Match 5: Team 13 vs Team 14
  • Match 6: Team 15 vs Team 16
  • Match 7: Team 17 vs Team 18
  • Match 8: Team 19 vs Team 20
  • Match 9: Team 21 vs Team 22
  • Match 10: Team 30 vs Team 31
  • Match 11: Team 32 vs Team 33
  • Match 12: Team 34 vs Team 35
  • Match 13: Team 36 vs Team 37
  • Match 14: Team 38 vs Team 39
  • Match 15: Team 40 vs Team 41
  • Match 16: Team 42 vs Team 43
  • Match 17: Team 44 vs Team 45

Total number of matches = number of teams − 1 = 49 − 1 = 48 (not including a third-place match). There are 6 rounds, because 64 = 2 × 2 × 2 × 2 × 2 × 2 — worked out from the textbook illustrations, not a textbook formula.

Print or save as PDF

Tap “Print fixture (A4)” and choose “Save as PDF” as the printer to get a 49 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in portrait.

Questions

How many byes are there in a 49 team knockout fixture?

Byes = next power of 2 − number of teams = 64 − 49 = 15. 15 is odd, so the upper half gets (15 − 1) ÷ 2 = 7 byes and the lower half gets (15 + 1) ÷ 2 = 8 byes. The byes go, in order, to teams 49, 1, 26, 25, 48, 2, 27, 24, 47, 3, 28, 23, 46, 4 and 29. These teams do not play Round I and go straight to Round II.

How many matches and rounds are there for 49 teams?

Total number of matches = number of teams − 1 = 49 − 1 = 48, not including a third-place match. There are 6 rounds, because 64 = 2 × 2 × 2 × 2 × 2 × 2 (worked out from the textbook illustrations, not a textbook formula).

How are 49 teams divided into the upper and lower half?

49 is odd, so the upper half gets (49 + 1) ÷ 2 = 25 teams (Teams 1–25) and the lower half gets (49 − 1) ÷ 2 = 24 teams (Teams 26–49).

Can I print the 49 team knockout fixture or save it as a PDF?

Yes. Tap “Print fixture (A4)” and choose “Save as PDF” as the printer to get a 49 team knockout fixture PDF. The bracket prints on 2 A4 pages (upper half, then lower half) in portrait.